Respuesta :

Answer:-

[tex]\red{\bigstar}[/tex] The final evaluation of the given expression is [tex]\large\leadsto\boxed{\rm\purple{- 40}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Given:-

  • Expression = ax² + bx + c

  • a = -2

  • b = 5

  • c = -7

  • x = -3

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Solution:-

Substitute the given values of each variable in the expression.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\bold{ax^2 + bx + c}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf (-2) \times (-3)^2 + (5) \times (-3) + (-7)[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf (-2) \times (9) + (-15) + (-7)[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf - 18 - 15 - 7[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\bold\red{\large{- 40}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\pink{\bigstar}[/tex] Therefore, the the final evaluation of the given expression is -40.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\pink{\bigstar}[/tex] Hence, the Option. C

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{ax^2 + bx + c}}[/tex]

[tex]\huge\boxed{\mathsf{= -2(-3)^2 + 5(-3) + (-7)}}[/tex]

[tex]\huge\boxed{\mathsf{= (-2)(9) - 15 - 7}}[/tex]

[tex]\huge\boxed{\mathsf{= -18 - 15 - 7}}[/tex]

[tex]\huge\boxed{\mathsf{= -33 - 7}}}[/tex]

[tex]\huge\boxed{\mathsf{= -40}}[/tex]

[tex]\huge\boxed{\rm{Therefore, your \ answer\ is: \boxed{\mathsf{Option\ C. -40}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]